So use pythagorean theorem
a^2+b^2=c^2
a=base
b=height
c=legnth of ladder
a=2
b=c-0.5
subsitute
2^2+(c-0.5)^2=c^2
4+c^2-c+0.25=c^2
add like terms
c^2-c+4.25=c^2
subtract c^2 from both sides
-c+4.25=0
add c to both sides
4.25=c
the legnth of the ladder is 4.25 m
The trick is to realize what your choices are.
if m or n or both are divisible by 5, then 2mn will be divisible by 5
I don't know if you know about x mod(5), but in that case there can only be 4 possibilities for m and n
m mod (5) = +/- 2 or m mod(5) = +/- 1
In the first case m^2 = 4 mod(5) and in the second case m^2 = 1 mod(5) N has the same considerations.
If m and n have the same modular results (both are [say] 2 ) then m^2 - n^2 which be 0
If they are different, then (m^2 + n^2) mod 5 = 0
d $=d*100 cent
Let the unit cost of soda be p cents. So, unit cost of hot dog=2p cents
Total cost=cost of hot dog+cost of soda
or, 100d=h*2p+s*p=p(2h+s)
Or, p=100d(s+2h)p=100d(s+2h)
Answer:
The width of the scale model is 33 inches.
Step-by-step explanation:
This question is solved making a relation with the scale model.
In the scale, 3 inches are worth 11 real feet.
The actual width of the building is 121 feet, so we find it's scale by a rule of three.
3 inches - 11 feet
x inches - 121 feet
Simplifying by 3, both sides
The width of the scale model is 33 inches.
Let S = {1,2,3,4,5,6,7,8,9,10} be the set of equally likely outcomes for an event. Let event E = {1,2,3,4,5,6} and event F = {2,
Ganezh [65]
Answers:
0.3= P( E AND F ^c)
0.4 = P(F) and P(E^c)
0.6= P(E) and P( F^c)
0.7 = P( E or F) and P(E ^c or F ^c)